7,846,735

5 × 13 × 61 × 1979

Starting at 7,846,735, the Collatz iteration reaches 1 after 155 steps. The first transition is 23540206; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 61 × 1979

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,311,840

Proper Divisor Sum 2,465,105

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7846693 ← → #7846739

Radix Representation

Decimal	7846735
Binary	11101111011101101001111 (23 bits)
Octal	0o35735517
Hexadecimal	0x77BB4F

Divisor Catalog (16)

1 5 13 61 65 305 793 1,979 3,965 9,895 25,727 120,719 128,635 603,595 1,569,347 7,846,735

Collatz Trajectory (155 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,846,735 23,540,206 11,770,103 35,310,310 17,655,155 52,965,466 26,482,733 79,448,200 39,724,100 19,862,050 9,931,025 29,793,076 14,896,538 7,448,269 22,344,808 11,172,404 5,586,202 2,793,101 8,379,304 4,189,652 2,094,826 1,047,413 3,142,240 1,571,120 785,560 392,780 196,390 98,195 294,586 147,293 441,880 220,940 110,470 55,235 165,706 82,853 248,560 124,280 62,140 31,070 15,535 46,606 23,303 69,910 34,955 104,866 52,433 157,300 78,650 39,325 117,976 58,988 29,494 14,747 44,242 22,121 66,364 33,182 16,591 49,774

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